GCD of 390, 746, 44, 900 Calculator

Given Input numbers are 390, 746, 44, 900

In the factoring method, we have to find the divisors of all numbers

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 44 :

The positive integer divisors of 44 that completely divides 44 are.

1, 2, 4, 11, 22, 44

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (390, 746, 44, 900) = 2.

Given numbers are 390, 746, 44, 900

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 746 are 2 x 373

Prime factors of 44 are 2 x 2 x 11

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 390, 746, 44, 900 is 2.

Given numbers are 390, 746, 44, 900

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(390, 746) = 145470

GCD(390, 746) = ( 390 x 746 ) / 145470

= 390 / 746

= 390

Step2:

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

= 2 / 44

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 390, 746, 44, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 514, 13, 969
• GCD of 265, 813, 22, 339
• GCD of 311, 850, 46, 968
• GCD of 248, 406, 70, 237
• GCD of 223, 717, 50, 173

Given numbers are 390, 746, 44, 900
The greatest common divisor of numbers 390, 746, 44, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 746, 44, 900 is 2.

1. What is the GCD of 390, 746, 44, 900?

GCD of given numbers 390, 746, 44, 900 is 2

2. How to calculate the greatest common divisor of 390, 746, 44, 900?

We can find the highest common divisor of 390, 746, 44, 900 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 390, 746, 44, 900 i.e 2.

3. How can I use the GCD of 390, 746, 44, 900Calculator?

Out the numbers 390, 746, 44, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.